Thread: Reducing Fractions

Reduce to the lowest terms.

_x + 4__ __x + 4__
x^2-x-12 + x^2 + 5x + 6


__3_ __c - 4___ __5__
4c+2 - 2c^2+c - 6c

Originally Posted by pashah

Reduce to the lowest terms.

_x + 4__ __x + 4__
x^2-x-12 + x^2 + 5x + 6


__3_ __c - 4___ __5__
4c+2 - 2c^2+c - 6c

Hello, pashah,

1rst problem:

Factorize the denominators and you'll get:
. Put the common factor in front of a bracket:
. Now rearrange the terms in the bracket. You can factorize the numerator again. The final result should be:
. But as you see, you can't simplify this fraction (maybe there is a typo?)

2nd problem
Factorize (if possible) the denominators:

The common denominator is 6c(2c+1). Expand all fractions:

Add all terms of the numerators:


Greetings

EB